Answer:
36 minutes
Step-by-step explanation:
Let the productivity of slower computer is x bits/min
That means Slower computer in 45 minutes sends x*45 bits= company's email
Let the productivity of faster computer is y bits/min
That means that working together slower and faster computers send
x*20+y*20= company's email or
x*20+y*20=x*45
x*25=y*20
y/x=25/20= 1,25
That means that faster computer sends the mails 1.25 times faster than slower computer
So faster computer will need in 1.25 times lees time than slower computer to do this job
45:1.25 =36 min
To find the least common denominator, or lcd, you have to find the least common multiple, or lcm. To do that you find the multiples of each number until they equal each other. I set up a chart like this,
6 -
8 -
and then I start listing multiples so,
6 - 6, 12, 18, 24,
8 - 8, 16, 24,
I stop after I find a number they are both equal to. So to get to that number I would multiply 8 by 3, and 6 by 4. This gives me 24 as the lcd. If you need the lcd to add the fractions together, then whatever you did to the bottom do to the top. So 5/6 would become 20/24 and 3/8 would become 9/24.
Answer: 24
Step-by-step explanation:
constant variation is direct and the slope is constant
The function is k(x) = 512 · x .
Try 'A': k(2/3) = (512) · (2/3) = 341.33... not 64
Try 'B': k(4/9) = (512) · (4/9) = 257.55... not 16
Try 'C': k(1/3) = (512) · (1/3) = 170.66... not 8
Try 'D': k(2/9) = (512) (2/9) = 113.77... not 8 .
So far, it looks like NONE of the choices is correct.
But wait ! There's more !
What if the actual function is k(x) = 512ˣ
that is, 512 raised to the 'x' power ?
That would be a horse of a different cruller.
Let's try THAT out.
First, here are two facts that we'll need:
==> 512 ^ 1/3 = 8
and
==> 512 ^ 1/9 = 2 .
OK. NOW ...
Try 'A': k(2/3) = (512) ^ 2/3 = 8^2 = 64 yes !
Try 'B': k(4/9) = (512) ^ 4/9 = 2^4 = 16 yes !
Try 'C': k(1/3) = (512) ^ 1/3 = 8 yes !
Try 'D': k(2/9) = (512) ^ 2/9 = 2^2 = 4 not 8 .
So here's what we have learned:
-- The function in the question is actually k(x) = 512 ^ x
-- Choice-D is the incorrect one.
